The National Sleep Foundation recommends that teenagers aged 14 to 17 years old get at least 8 hours of sleep
per night for proper health and wellness.
A statistics class at a large high school suspects that students at their school are getting less than 8 hours of
sleep on average. To test their theory, they randomly sample 42 of these students and ask them how many hours
of sleep they get per night. The mean from the sample is 2 = 7.5 hours.
Here's their alternative hypothesis:
H : The average amount of sleep students at their school get per night is...
What is an appropriate ending to their alternative hypothesis?

Answer:

A

Step-by-step explanation:

Answer:

Each cheeseburger was $5.25.

Step-by-step explanation:

He purchased:

A taco for $2.75.

Four cheeseburgers, each for x.

In total, he spent $23.75.

How much was each cheeseburger​?

This is the value of x. We have that:

[tex]2.75 + 4x = 23.75[/tex]

[tex]4x = 21[/tex]

[tex]x = \frac{21}{4}[/tex]

[tex]x = 5.25[/tex]

Each cheeseburger was $5.25.

Answer:

9± √3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

a) 0.1859 = 18.59% probability that 5 will survive.

b) 0.1181 = 11.81% probability that 8 will survive.

c) 0.0016 = 0.16% probability that 12 will survive.

Step-by-step explanation:

For each patient, there are only two possible outcomes. Either they survive, or they do not. The probability of a patient surviving is independent of any other patient. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that the patient recovers from a rare deadly disease is 40%

This means that [tex]p = 0.4[/tex]

15 individuals

This means that [tex]n = 15[/tex]

a. 5 will survive

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.4)^{5}.(0.6)^{10} = 0.1859[/tex]

0.1859 = 18.59% probability that 5 will survive.

b. 8 will survive

This is P(X = 8). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{15,8}.(0.4)^{8}.(0.6)^{7} = 0.1181[/tex]

0.1181 = 11.81% probability that 8 will survive.

c.12 will survive

This is P(X = 12). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 12) = C_{15,12}.(0.4)^{12}.(0.6)^{3} = 0.0016[/tex]

0.0016 = 0.16% probability that 12 will survive.

Answer:

551

Step-by-step explanation:

Answer:

551.18 inches

Step-by-step explanation:

convert 14 m to cm, so multiply 14 by 100, to get 1400, then convert to inches, so divide by 2.54, which gives you 551.18 inches

Answer:

100

Step-by-step explanation:

You're correct :) good job

9514 1404 393

Answer:

Step-by-step explanation:

The marked angles are supplementary, so ...

  (5x +26)° +(8x -2)° = 180°

  13x = 156 . . . . . . . . . . . . . . divide by °, subtract 24

  x = 12 . . . . . . . . . . . divide by 13

  ∠H = (8x -2)° = (8·12 -2)°

  ∠H = 94°

Answer:

12 units^2

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Margin of error is 4.645% with 95% confidence that the mean number of hours all the residents of the city are watching news on television is 1.8 .

Data given :

A researcher surveyed 220 residents of a city about the number of hours they spend watching news on television each day. The mean of the sample was 1.8 with a standard deviation of 0.35 .

The researcher can be 95% confident that the mean number of hours all the residents of the city are watching news on television is 1.8 with what margin of error,

By formula of margin of error = [tex]M = 1.96 \times S / \sqrt{N} ,[/tex]

[tex]Margin \ of \ error, \ M = z \times \frac{s}{\sqrt{N}}[/tex]

z - represents the z-value for the required confidence level .

s - represents the standard deviation of the sample .

N - represents the sample size .

Now, using the above information, compute the margin of error as -

[tex]\therefore \ Margin \ of \ error, \ M = z \times \frac{s}{\sqrt{N}} \\= 1.96 \times \frac{0.35}{\sqrt{220}}[/tex]

[tex]=0.04625 (rounded \ to \ 5\ decimal\ places) \\\\ =4.625\%[/tex]

Thus, the margin of error, M, is approximately 4.625% .

Know more about margin of error,

https://brainly.com/question/34599324

#SPJ4

Answer:

why isn't anybody answering. I guess ill have too.

Step-by-step explanation:

Ok.

Answer:

Slope -6,5

Step-by-step explanation:

Slope of the equation is -6.5 which is mean that every our his battery lose 6.5 percent of charge. 52 represent here the percentage of battery at the time he left the house.

Answer:

2x+14=34

Step-by-step explanation:

Subtract 14 from both sides

2x=20

Divide by 2 on both sides

Hope this helps :)

Answer:

119.4

Step-by-step explanation:

Big Brain Dude <:

Answer:

x^6

Step-by-step explanation:

Answer:

The last one 13^3/5

Step-by-step explanation:

13^3/5

Answer:

You have 2 red marbles and 3 green marbles in a bag. What is the probability that a red marble is pulled out of the bag?

Answer:

Nope

Step-by-step explanation:

No because you can (12 + 6) +2 and get 8. so yea

9514 1404 393

Answer:

  (c)  ∠BFD

Step-by-step explanation:

Angle DFE is created from rays FD and FE. An adjacent angle will have one of those rays as one of its sides. Of the offered choices, only ∠BFD includes one of those two rays as one of its sides.

Given:

The package weighed 350,000 centigrams.

To find:

The conversions that are equivalent to 350,000 centigrams

Solution:

We know that,

1 centigrams (cg) = 0.000001 kilograms (kg)

1 cg = 0.1 decigrams (dg)

1 cg = 0.001 dekagrams (dag)

1 cg = 0.01 grams (g)

Using these conversions, we get

350,000 centigrams = 3.5 kilograms

350,000 centigrams = 35,000 decigrams

350,000 centigrams = 350 dekagrams

350,000 centigrams = 3,500 grams

Therefore the correct options are C and D.

Answer:

For b = 7, the expression equals 15.

Step-by-step explanation:

6b + 8 - 5b

Substitute the variable b = 7.

6(7) + 8 - 5(7)

Multiply.

42 + 8 - 35

Add.

50 - 35

Subtract.

15.

Answer:

15

Step-by-step explanation:

6 × 7 = 42

5 × 7 = 35

42 + 8 - 35 = 15

1) true

2)false

Step-by-step explanation:

1) 5(3)+2(4) = 23

= 15+8=23

23=23

thus, (3,4) is solution for 5x + 2y = 23

2) 5(0)+2(4) =23

= 0+8 is not 23

thus, (0,4) is not solution for 5x + 2y = 23

Answer:

6 hours

Step-by-step explanation:

speed = distance/ time

6000meters to km = 6000/1000= 6km

speed for the first race = 6/2

speed = 3km/hr

for the second race

speed = distance/time

3 = 18/time

cross multiply

3* t = 18

divide both sides by 3

t = 18/3

t = 6 hours

Answer:

Ronald will take 6 hours to complete the 18 km race if he maintains this speed.

Step-by-step explanation:

6000m in 2h = 6km in 2h

multiply by 3:

18km in 6h

Have a nice day!

Answer:

don't know

Step-by-step explanation:

dont know...........

Answer:

f(g(x) = -3v

Step-by-step explanation:

Answer: Riddle

Step-by-step explanation: The letters that aren't in the second word, but are in the first make riddle. Like I got the r because it wasn't in bead but it was in bread, etc

Answer:

The answer is "Riddle"

Step-by-step explanation:

First letter: R

Second letter: I

Third letter: D

Fourth Letter: D

Fifth Letter: L

Sixth Letter: E